Moon did not show up in my skies till 12.30 am.
At 5.30 am, I was able to spot it overhead. So implied all the guidance: Aperture, ISO, tripod, self timer.
Image stabilization off, eluded me somehow.
Skies were clear blue, still top right composed dark with the parameters.
Can't say how

Collage gives these : FUJIFILM FinePix HS30EXR 126mm
Individually, the first left on collage :FUJIFILM FinePix HS30EXR ƒ/101/500 106.4mm ISO400
Dark one Right on top :FUJIFILM FinePix HS30EXR ƒ/10 1/500 126mm ISO400
Bottom left: FUJIFILM FinePix HS30EXR ƒ/10 1/500 106.4mm ISO400
Bottom Right: FUJIFILM FinePix HS30EXR ƒ/5.6 1/250 126mm ISO160

Basic editing in Google photos